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Exam 4: Probability

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Question 41

True/False

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An event is a process that produces outcomes.

A) True
B) False

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Question 42

Multiple Choice

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In a set of 15 aluminum castings, two castings are defective (D) , and the remaining thirteen are good (G) .A quality control inspector randomly selects three of the fifteen castings without replacement and classifies each as defective (D) or good (G) .How large is the sample space?

A) 3,375
B) 2,730
C) 455
D) 15
E) 3

F) All of the above
G) C) and E)

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Question 43

Multiple Choice

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The intersection of two events, M and N is denoted by ___.

An event that cannot be broken down into other events is called a certainty outcome.

If P(X|Y)= P(X)then the events X and Y are independent.

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A|F) = __.

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labelled A, B, and C.The consumers are classified according to age and package design preference. Are "B" and "25 or older" independent and why or why not?

The general law of addition is P(X $\cup$ Y)= P(X)+ P(Y)- P(X $\cap$ Y).

P(B $\mid$ A)denotes the posterior probability of event B given event A.

Events A and B are said to be independent if either P(A $\mid$ B)= P(B)or if P(B $\mid$ A)= P(A).

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the joint probability table below that was developed from the dealer's records for the previous year, P (Female $\cap$ SUV) = _______.

Five people are selected from a group of 20 to form a committee.How many different committee combinations could be formed?

All possible elementary events for an experiment is referred to as collectively exhaustive events.

Given the following joint probability table, find the probability that a dog is large and takes less than 30-minute walks?

Given P (A) = 0.40, P (B) = 0.50, P (A $\cap$ B) = 0.15.Which of the following is true?

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(F|A) = ___.

If two events are mutually exclusive, then the two events are also independent.

If X and Y are mutually exclusive, then ___.

The mn counting rule may only be used when there are two operations from which to count.

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.